Find the ratio of the volume of the larger cube to the volume of the smaller one, if the edge of one

Find the ratio of the volume of the larger cube to the volume of the smaller one, if the edge of one cube is 2.4 m, and the other is 12 dm.

Let us express the edge of the larger cube in dm:

2.4 m = 24 in.

The formula for finding the volume of a cube:
V = a ^ 3, where a is the edge of the cube.

Find the volume of the larger cube:

24 ^ 3 = 24 * 24 * 24 = 13 824 (dm ^ 3) – the volume of the larger cube.

Find the volume of the smaller cube:

12 ^ 3 = 12 * 12 * 12 = 1,728 (dm ^ 3) – the volume of the smaller cube.

Let’s define the ratio of the volume of the larger cube to the volume of the smaller cube:

13,824: 1,728 = 8.

Answer: The ratio of the volume of the larger cube to the volume of the smaller cube is 8.